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434442061452 = 223747979111239
BaseRepresentation
bin1100101001001101100…
…00111100011010001100
31112112101000101101010110
412110212300330122030
524104214131431302
6531325133040020
743246610410230
oct6244660743214
91475330341113
10434442061452
111582782439a3
1270245926010
1331c770a2369
14170545545c0
15b47a4b8b6c
hex6526c3c68c

434442061452 has 96 divisors (see below), whose sum is σ = 1183387484160. Its totient is φ = 121462102080.

The previous prime is 434442061451. The next prime is 434442061567. The reversal of 434442061452 is 254160244434.

It is a self number, because there is not a number n which added to its sum of digits gives 434442061452.

It is not an unprimeable number, because it can be changed into a prime (434442061451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38649249 + ... + 38660487.

It is an arithmetic number, because the mean of its divisors is an integer number (12326952960).

Almost surely, 2434442061452 is an apocalyptic number.

434442061452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434442061452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591693742080).

434442061452 is an abundant number, since it is smaller than the sum of its proper divisors (748945422708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434442061452 is a wasteful number, since it uses less digits than its factorization.

434442061452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21091 (or 21089 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

The spelling of 434442061452 in words is "four hundred thirty-four billion, four hundred forty-two million, sixty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3948 9791 11239 19582 22478 29373 33717 39164 44956 58746 67434 68537 78673 117492 134868 137074 157346 205611 236019 274148 314692 411222 460177 472038 528233 822444 920354 944076 1056466 1380531 1584699 1840708 2112932 2761062 3169398 3221239 3697631 5522124 6338796 6442478 7395262 9663717 11092893 12884956 14790524 19327434 22185786 38654868 44371572 110041049 220082098 330123147 440164196 660246294 770287343 1320492588 1540574686 2310862029 3081149372 4621724058 5171929303 9243448116 10343858606 15515787909 20687717212 31031575818 36203505121 62063151636 72407010242 108610515363 144814020484 217221030726 434442061452